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In quantum materials, charge orders typically stabilize in specific crystallographic orientations, though their formation mechanisms may vary. Here, using low-temperature scanning tunneling microscopy (STM), we discover a lattice-decoupled…

We review the recent developments in the field of cuprate superconductors with the special focus on the recently observed charge order in the underdoped compounds. We introduce new theoretical developments following the study of the…

Superconductivity · Physics 2016-09-07 T. Kloss , X. Montiel , V. S. de Carvalho , H. Freire , C. Pépin

In those cases where charge stripe order has been observed in cuprates, the crystal structure is such that the average rotational symmetry of the CuO2 planes is reduced from four-fold to two-fold. As a result, one could argue that the…

Superconductivity · Physics 2010-02-03 M. Huecker , M. v. Zimmermann , M. Debessai , J. S. Schilling , J. M. Tranquada , G. D. Gu

The coexistence and competition between superconductivity and electronic orders, such as spin or charge density waves, have been a central issue in high transition-temperature (${T_{\rm c}}$) superconductors. Unlike other iron-based…

The simultaneous interplay of strong electron-electron correlations, topological zero-energy states, and disorder is yet an unexplored territory but of immense interest due to their inevitable presence in many materials. Copper oxide…

Experimental studies of the pairing state of cuprate superconductors reveal asymmetric behaviors of the hole-doped (p-type) and electron-doped (n-type) cuprates. The pairing symmetry, pseudogap phenomenon, low-energy spin excitations and…

Superconductivity · Physics 2009-11-10 N. -C. Yeh , C. -T. Chen

The interplay between superconductivity and any other competing order is an essential part of the long-standing debate on the origin of high temperature superconductivity in cuprates. Akin to the situation of heavy fermions, organic…

Superconductivity · Physics 2021-11-24 David LeBoeuf , S. Krämer , W. N. Hardy , Ruixing Liang , D. A. Bonn , Cyril Proust

One of the leading issues in high-$\rm T_c$ copper oxide superconductors is the origin of the pseudogap phase in the underdoped regime of their phase diagram. Using polarized neutron diffraction, a novel magnetic order has been identified…

Superconductivity · Physics 2015-03-17 Philippe Bourges , Yvan Sidis

The pseudogap regime of the cuprate high-temperature superconductors is characterized by a variety of competing orders, the nature of which are still widely debated. Recent experiments have provided evidence for electron nematic order, in…

Superconductivity · Physics 2021-04-14 Tianyi Liu , Daniel Jost , Brian Moritz , Edwin W. Huang , Rudi Hackl , Thomas P. Devereaux

Strongly interacting electrons can exhibit novel collective phases, among which the electronic nematic phases are perhaps the most surprising as they spontaneously break rotational symmetry of the underlying crystal lattice. The electron…

Hole doping into a correlated antiferromagnet leads to topological stripe correlations, involving charge stripes that separate antiferromagnetic spin stripes of opposite phase. Topological spin stripe order causes the spin degrees of…

Superconductivity · Physics 2021-12-10 John M. Tranquada

The cuprate superconductors exhibit ubiquitous instabilities toward charge-ordered states. These unusual electronic states break the spatial symmetries of the host crystal, and have been widely appreciated as essential ingredients for…

Electronic charge order is a symmetry breaking state in high-$T_\mathrm{c}$ cuprate superconductors. In scanning tunneling microscopy, the detected charge-order-induced modulation is an electronic response of the charge order. For an…

Superconductivity · Physics 2019-10-18 Ying Fei , Yuan Zheng , Kunliang Bu , Wenhao Zhang , Ying Ding , Xingjiang Zhou , Yi Yin

An electronic phase separation model provides a natural explanation for a large variety of experimental results in the cuprates, including evidence for both stripes and larger domains, and a termination of the phase separation in the…

Superconductivity · Physics 2009-11-07 R. S. Markiewicz , C. Kusko

Complex phase diagrams are generic feature of quantum materials that display high temperature superconductivity. In addition to d-wave superconductivity (or other unconventional states), these phase diagrams typically include various forms…

Superconductivity · Physics 2025-07-29 Eduardo Fradkin

An elementary phenomenological consideration is presented regarding the long wavelength quantum dynamics in cuprate superconductors. The emphasis is on the interplay of the charge- and spin order associated with the stripe phenomenon on the…

Condensed Matter · Physics 2009-10-31 J. Zaanen

Within a model that supports stripe spin and charge order coexisting with a d$_{x^2-y^2}$-wave superconducting phase, we study the self-consistently obtained electronic structure and the associated transverse dynamical spin susceptibility.…

Superconductivity · Physics 2009-11-10 Brian M. Andersen , Per Hedegard

The mechanism of high temperature superconductivity is not resolved for so long because the normal state of cuprates is not yet understood. Here we show that the normal state pseudo-gap exhibits an unexpected non-monotonic temperature…

Charge order in cuprate superconductors is a possible source of anomalous electronic properties in the underdoped regime. Intra-unit cell charge ordering tendencies point to electronic nematic order involving oxygen orbitals. In this…

Strongly Correlated Electrons · Physics 2013-10-29 S. Bulut , W. A. Atkinson , A. P. Kampf

Trilayer nickelates, which exhibit a high degree of orbital polarization combined with an electron count (d8.67) corresponding to overdoped cuprates, have been identified as a promising candidate platform for achieving high-Tc…

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